Practice Matrix Arithmetic Operations (3.1.1) - Array operations and Linear equations

Practice: Matrix arithmetic operations

Lesson 3.1.1Array operations and Linear equations

Practise this section

8 questions

Flashcard drill
3 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
2 questions · about 1 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
What is the result of adding the matrices A = [2; 3] and B = [4; 5]?
Show hintHide hint
Add the corresponding elements together.
Question 2.
What do you get when you multiply A = [3, 4] and B = [2; 1]?
Show hintHide hint
Check the dimensions of A and B.
3Question 3.
What condition must be met for two matrices A and B to be added?
- Their dimensions must be the same
- The number of columns in A must equal the number of rows in B
- They must both be square matrices
Show hintHide hint
Think about the definition of matrix addition.
4Question 4.
True or False: The element-wise multiplication of matrices requires the same dimensions.
- True
- False
Show hintHide hint
Recall the rules for element-wise operations.
Question 5.
Consider matrices A = [[2, 0]; [3, 5]] and B = [[1, 4]; [2, 3]]. Perform both A + B and A .* B. What do you observe?
Show hintHide hint
Remember to operate element by element for A .* B.
Question 6.
You have a matrix C = [[1, 0]; [0, 1]] and another matrix D = [[2, 3]; [4, 5]]. Calculate C*D and observe the result. Is it equal to D?
Show hintHide hint
What does multiplying by the identity matrix do?

4 more questions in this section. Enroll free to practise them all.